2300003261 has 2 divisors, whose sum is σ = 2300003262. Its totient is φ = 2300003260.

The previous prime is 2300003249. The next prime is 2300003263. The reversal of 2300003261 is 1623000032.

2300003261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2257675225 + 42328036 = 47515^2 + 6506^2 .

It is a cyclic number.

It is not a de Polignac number, because 2300003261 - 2²⁶ = 2232894397 is a prime.

It is a super-2 number, since 2×2300003261² = 10580030001221268242, which contains 22 as substring.

Together with 2300003263, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2300003263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1150001630 + 1150001631.

It is an arithmetic number, because the mean of its divisors is an integer number (1150001631).

Almost surely, 2^2300003261 is an apocalyptic number.

It is an amenable number.

2300003261 is a deficient number, since it is larger than the sum of its proper divisors (1).

2300003261 is an equidigital number, since it uses as much as digits as its factorization.

2300003261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 2300003261 is about 47958.3492313904. The cubic root of 2300003261 is about 1320.0067456420.

Adding to 2300003261 its reverse (1623000032), we get a palindrome (3923003293).

The spelling of 2300003261 in words is "two billion, three hundred million, three thousand, two hundred sixty-one".